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Quantum quenches in disordered systems: approach to thermal equilibrium without a typical relaxation time

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Khatami, Ehsan and Rigol, Marcos and Relaño Pérez, Armando and García García, Antonio M. (2012) Quantum quenches in disordered systems: approach to thermal equilibrium without a typical relaxation time. Physical Review E, 85 (5). ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.85.050102


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http://journals.aps.org/Publisher


Abstract

We study spectral properties and the dynamics after a quench of one-dimensional spinless fermions with short-range interactions and long-range random hopping. We show that a sufficiently fast decay of the hopping term promotes localization effects at finite temperature, which prevents thermalization even if the classical motion is chaotic. For slower decays, we find that thermalization does occur. However, within this model, the latter regime falls in an unexpected universality class, namely, observables exhibit a power-law (as opposed to an exponential) approach to their thermal expectation values.


Item Type:Article
Additional Information:

© 2012 American Physical Society. This research was supported by NSF under Grant No. OCI-0904597 (E. K. and M. R.) and by the U.S. Office of Naval Research (M. R.). A. M. G. acknowledges support from Galileo Galilei Institute, FCT (PTDC/FIS/111348/2009), Marie Curie Action (PIRG07-GA-2010-26817), and EPSRC (EP/I004637/1). A.R. acknowledges support from the Spanish Government Grants No. FIS2009-11621-C02-01 and No. FIS2009-07277.

Uncontrolled Keywords:Metal-insulator-transition; Spectral statistics; Wave-functions; Particle; Cantori; Chaos
Subjects:Sciences > Physics > Thermodynamics
ID Code:27439
Deposited On:24 Nov 2014 13:46
Last Modified:26 Feb 2015 16:11

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